F. Benkhaldoun, I. Elmahi, and M. Sea¨?dsea¨?d, Well-balanced finite volume schemes for pollutant transport by shallow water equations on unstructured meshes, Journal of Computational Physics, vol.226, issue.1, pp.180-203, 2007.
DOI : 10.1016/j.jcp.2007.04.005

F. Benkhaldoun, S. Sahmim, and M. Sea¨?dsea¨?d, Solution of the Sediment Transport Equations Using a Finite Volume Method Based on Sign Matrix, SIAM Journal on Scientific Computing, vol.31, issue.4, pp.2866-2889, 2009.
DOI : 10.1137/080727634

F. Benkhaldoun, S. Sahmim, and M. Sea¨?dsea¨?d, A two-dimensional finite volume morphodynamic model on unstructured triangular grids, International Journal for Numerical Methods in Fluids, vol.461, issue.33-40, pp.1296-1327, 2010.
DOI : 10.1002/fld.2129

F. Benkhaldoun, S. Sahmim, and M. Sea¨?dsea¨?d, Abstract, Advances in Applied Mathematics and Mechanics, vol.473, issue.04
DOI : 10.4208/aamm.10-m1056

A. Bermudez and M. E. Vazquez, Upwind methods for hyperbolic conservation laws with source terms, Computers & Fluids, vol.23, issue.8, pp.1049-1071, 1994.
DOI : 10.1016/0045-7930(94)90004-3

M. J. Castro-díaz, E. D. Fernández-nieto, and A. M. Ferreiro, Sediment transport models in Shallow Water equations and numerical approach by high order finite volume methods, Computers & Fluids, vol.37, issue.3, pp.299-316, 2008.
DOI : 10.1016/j.compfluid.2007.07.017

M. J. Castro-díaz, E. D. Fernández-nieto, A. M. Ferreiro, J. A. García-rodríguez, and C. Parés, High Order Extensions of Roe Schemes for??Two-Dimensional Nonconservative Hyperbolic Systems, Journal of Scientific Computing, vol.208, issue.2, pp.67-114, 2009.
DOI : 10.1007/s10915-008-9250-4

M. J. Castro-díaz, E. D. Fernández-nieto, A. M. Ferreiro, and C. Parés, Twodimensional sediment transport models in shallow water equations. A second order finite volume approach on unstructured meshes, Computer Methods in Applied Mechanics and Engineering, vol.198, pp.33-362520, 2009.

E. Godlewski and P. A. Raviart, Numerical approximation of hyperbolic systems of conservation laws, Number 118 in Applied Mathematical Sciences, 1996.
DOI : 10.1007/978-1-4612-0713-9

S. Gottlieb and C. W. Shu, Total variation diminishing Runge-Kutta schemes, Mathematics of Computation of the American Mathematical Society, vol.67, issue.221, pp.73-85, 1998.
DOI : 10.1090/S0025-5718-98-00913-2
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.105.4521

A. J. Grass, Sediments transport by waves and currents, SERC London Cent. Mar. Technol, 1981.

L. Hascoët and V. Pascual, TAPENADE 2.1 User's Guide, 2004.

J. Hudson and P. K. Sweby, Formulations for Numerically Approximating Hyperbolic Systems Governing Sediment Transport, Journal of Scientific Computing, vol.19, pp.1-3225, 2003.

R. Martin and H. Guillard, A second order defect correction scheme for unsteady problems, Computers & Fluids, vol.25, issue.1, pp.9-27, 1996.
DOI : 10.1016/0045-7930(95)00027-5
URL : https://hal.archives-ouvertes.fr/inria-00074228

E. Sinibaldi, F. Beux, M. Bilanceri, and M. V. Salvetti, A Second-Order Linearised Implicit Formulation for Hyperbolic Conservation Laws, with Application to Barotropic Flows. ADIA 2008-4, 2008.

B. Van-leer, Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method, Journal of Computational Physics, vol.32, issue.1, pp.101-136, 1979.
DOI : 10.1016/0021-9991(79)90145-1